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Finding the Third Proportional to 27,694 and 61,116

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Solution

The third proportional to 27,694 and 61,116 is: 134,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,694 : 61,116 = 61,116 : x
  2. Step 2: Convert to fraction form
    27,694/61,116 = 61,116/x
  3. Step 3: Cross multiply
    27,694x = 61,116 × 61,116
  4. Step 4: Simplify right side
    27,694x = 3,735,165,456
  5. Step 5: Solve for x
    x = 3,735,165,456/27,694
  6. Step 6: Final answer
    x = 134,872.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.